Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>

<u>Step 2: Solve for </u><em><u>c</u></em>
- Simplify [Reduce]:

- [Multiplication Property of Equality] Cross-multiply:

R2-4r-77 = (r-11)(r+7)
r has to be greater than 11 in order for the formula to represent the area of a rug since a side length cannot be less than or equal to 0.
Answer:
x= -40,0
y= 0,15
Step-by-step explanation:
Answer:
x = 3, 4, 5
Step-by-step explanation:
Solving the inequality
5x + 2 > 12 ( subtract 2 from both sides )
5x > 10 ( divide both sides by 5 )
x > 2
Thus the only values from the given set which make the inequality true are
x = 3, 4, 5
You are given the information that he takes six lessons per week. First we will calculate the total lessons he could potentially take per year.
6 • 52 = 312
He could potentially take 312 lessons in one year.
Now that you know this information, you simply subtract the days he missed from that total.
312 - 5 = 307
Your final answer: Peter took 307 lessons during the year.